Numerical Hydrodynamic Analysis of Slip Flow in a Permeable Wall Microchannel Controlled by an Inlet Volumetric Flow Rate

In the present work, a numerical study of the incompressible laminar flow of a Newtonian fluid circulating through a rectangular microchannel of parallel plates with permeable walls is carried out considering slip conditions. For this purpose, the corresponding governing equations, i.e., the mass and momentum conservation equations, are solved using the finite element technique with the free software FreeFEM++ to analyze the hydrodynamics of the flow under consideration, obtaining the velocity and pressure profiles. The main results show that by increasing the dimensionless filtration parameter \(\beta\) , the transverse velocity increases, which causes the longitudinal velocity to decrease due to mass conservation. This behavior is maintained even considering the influence of the dimensionless slip parameter \(\delta\) , which is also reflected in the volumetric flow rate, since as this parameter increases, the volumetric flow rate in the longitudinal direction is slightly enhanced.